Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

Step by Step please Solution of... http://awesomescreenshot.com/0502bl7743

OpenStudy (jdoe0001):

have you covered factoring of quadratics yet?

OpenStudy (anonymous):

no...

OpenStudy (anonymous):

c

OpenStudy (anonymous):

How'd you get that?

OpenStudy (anonymous):

i know i know i know

OpenStudy (anonymous):

>.>

OpenStudy (anonymous):

You just know without working it out? Or you know you're gonna tell me?

OpenStudy (anonymous):

how.. you got it..

OpenStudy (anonymous):

i know i know i know

OpenStudy (anonymous):

c

OpenStudy (anonymous):

-.- your trolling is unwelcome here.

OpenStudy (anonymous):

There is no need for factorization here.

OpenStudy (anonymous):

its c

OpenStudy (anonymous):

Then... what's needed?

OpenStudy (anonymous):

u

OpenStudy (anonymous):

I would believe you if you didn't say it's C on another post... while giving no proof. So stop trolling... please.

OpenStudy (mathmale):

Here's a warm-up problem: Sqrt(5x+1)=5. How would you solve THAT for x?

OpenStudy (anonymous):

How odd @mathmale, I almost posted the same thing.

OpenStudy (anonymous):

I honestly don't know... um \[\sqrt{5x+1} = 5\] ? Am I supposed to plug in a zero for x?

OpenStudy (anonymous):

wait... nvm that wouldn't work.

OpenStudy (anonymous):

Yea... I have no idea.

OpenStudy (mathmale):

Solving this "warm-up" problem: Square both sides of \[\sqrt{5x+1}=5\]

OpenStudy (mathmale):

Or, square both sides of Sqrt(5x+1) = 5.

OpenStudy (mathmale):

[ Sqrt(5x+1)]^2 = ? [ 5 ]^2 = ?

OpenStudy (anonymous):

I have no idea what to do the first one but 5^2=25...

OpenStudy (anonymous):

Sorry I really have barely any knowledge in math whatsoever

OpenStudy (mathmale):

[ Sqrt(6)]^2 = 6 [ Sqrt(5x)]^2 = 5x [ Sqrt (5x+1)]^2 = ??

OpenStudy (anonymous):

5x+1?

OpenStudy (mathmale):

Yes, so that you end up with the equation 5x+1=25. Solve that for 5x, please, and then solve the result for x alone.

OpenStudy (anonymous):

I'm sorry... I'm really flustered >-< Did you get the 25 from 5^2? I don't see any number that fits as x to equal 25 .-.

OpenStudy (mathmale):

You obtained that 25 yourself by squaring 5. [ Sqrt(5x+1)]^2 = [ 5 ]^2 => 5x+1=25. Solve for x.

OpenStudy (anonymous):

Oh.... oops. Solving for x... do I subtract one from both sides?

OpenStudy (mathmale):

Yes. Then 5x = 24 and x = ??

OpenStudy (anonymous):

x = 4.8?

OpenStudy (mathmale):

or x = 24/5. Yes! Now, back to the original problem: Sqrt(5x+1) - Sqrt(x) = 5 Please add Sqrt(x) to both sides and simplify the result. We can discuss WHY later on.

OpenStudy (anonymous):

\[(\sqrt{5x+1})^2 - (\sqrt{x})^2 = 5^2\] \[5x+1 - x = 25\] Did I mess up yet? >.< \[x = 6\] ?

OpenStudy (mathmale):

I'd rather not talk in terms of "messing up." But I did ask you to add Sqrt(x) to both sides of the equation Sqrt(5x+1) - Sqrt(x) = 5. Have you done that?

OpenStudy (anonymous):

Well I thought I did /.\ I suppose I didn't...

OpenStudy (mathmale):

Siimplify: Sqrt(5x+1) - Sqrt(x) + Sqrt(x) = 5 + Sqrt(x) (I've added Sqrt(x) to both sides!

OpenStudy (anonymous):

5x + 1 - x + x = 5 + x ...

OpenStudy (anonymous):

Ugh I think I'm just going to quit .-. I'm just not getting this

OpenStudy (mathmale):

Strong hint, Angel: -Sqrt(x) + Sqrt(x) = 0. Do NOT remove the Sqrt operators on the left side, as you have done.

OpenStudy (mathmale):

You should end up with Sqrt(5x+1) = 5 + Sqrt(x). If you are tired and frustrated, stop now and re-post the same question tomorrow morning. What do you intend to do now?

OpenStudy (anonymous):

Oh.. did you cancel out -Sqrt(x) by adding it to both sides? Sorry... maybe you're right... I kinda took some sleepy medicine awhile ago. If I still can't understand anything I'll just try again in the AM

OpenStudy (mathmale):

OK: let's review where we are. You have Sqrt(5x+1)=5+Sqrt(x). We must get rid of that Sqrt operator. on both sides. Therefore, square Sqrt(5x+1). Result: 5x + 1. Square (5+Sqrt(x)). This is much more complicated; the correct result is 5^2 + 2Sqrt(x) + [Sqrt(x)]^2, or 25 +2Sqrt(x) + x.

OpenStudy (mathmale):

You decide: if this makes sense, let's continue; if it does not, repost this question in the morning when you're fresher.

OpenStudy (anonymous):

Um... I thought I was getting it... but I don't think so. I'll just go to sleep and try again in the morning... thank you for your patience. I appreciate it .

OpenStudy (mathmale):

Rest well. Hope to "see" you online tomorrow.

OpenStudy (anonymous):

Lol we'll see. Thank you and hopefully you do as well. Good nighhhht.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!